Lcz's Mock AMC 10A Problems

Instructions

1. All rules of a regular AMC 10 apply.

2. Please submit your answers in a DM to me (Lcz).

3. Don't cheat.

Here's the problems!

Problem 1

Find the value of $2^{0+1+2}+2+0(1+(2))+20(12)$ .

$\textbf{(A)}\ 8 \qquad\textbf{(B)}\ 248 \qquad\textbf{(C)}\ 250 \qquad\textbf{(D)}\ 252 \qquad\textbf{(E)}\ 254$

Problem 2

If $|x-2|=0$ , and $|y-3|=1$ , find the sum of all possible values of $|xy|$ .

$\textbf{(A)}\ 0 \qquad\textbf{(B)}\ 4 \qquad\textbf{(C)}\ 8 \qquad\textbf{(D)}\ 12 \qquad\textbf{(E)}\ 16$

Problem 3

Jack and Jill play a (bad) game on a number line which contains the integers. Jack starts at $-2$ , and Jill starts at $18$ . Every turn, the judge flip a standard six sided die. If the number rolled is a square number, Jack moves to the right $10$ units. Otherwise, Jill moves to the left $5$ units. What is the probability that it takes exactly $3$ moves for Jack and Jill to be on the same unit?

oops gotta go eat lol

$\textbf{(A)}\ \qquad\textbf{(B)}\ 248 \qquad\textbf{(C)}\ 250 \qquad\textbf{(D)}\ 252 \qquad\textbf{(E)}\ 254$

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Lcz's Mock AMC 10A Problems

Contents

Instructions

Problem 1

Problem 2

Problem 3